Geodesic
On convergence of multigrid method for elliptic equations of second order
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 154-161

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The Dirichlet problem for the general elliptic equation of second order in divergence form is considered. Convergence of the multigrid method for solving this problem is proved. The method investigated in the article is based on the application of conform finite elements and Jacobi smoother procedure.
Keywords: linear elliptic equation of second order, finite element method, multigrid method, convergence research. 
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     author = {M. M. Karchevsky},
     title = {On convergence of multigrid method for elliptic equations of second order},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {154--161},
     publisher = {mathdoc},
     volume = {151},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a12/}
}
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M. M. Karchevsky. On convergence of multigrid method for elliptic equations of second order. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 154-161. http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a12/